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- probability and random variable Haider Ali AL-Saidi le (H-O): let X aned Y awe C.4.Vs with joint 1ゃくKく4 →くすe able to chang the answer to a question that has already been submitted the submit button at the bottom of the page to have your answers graded محاولات يسمح ها الاختبار ب3 محاوله هه هي المحاوله ركم 1. 611-44 فرض بمجرد البدع، يجب إكمل هذا الاختبار في جلسه ولطده لا ترك الاخبار كل النقر فوق حفظ وإرسل حلة إكمل الأسطه أ A يقوم الانتقال إلى سؤال آخر يحفظ هذا الرد. السؤال 3 ?Given: x= -30 (mod 12) Which of the following integers are valid solutions for x 30 18- O 2 0 36- O Show all 5:59 PM A a 4) ENG 11/28/2020Using the Venn Diagram from the last question find probabilitiy P(no donuts and no common rolls) show work.II. calculate the probabil ities 1. P(016. A sampling Distribution of sample mean (Central Limit Theoren) The diameters of fully grown white oak trees are normally distributed ,whit a mean of 3.5 feet and standard deviation 0.2 foot . Random sample of size 16 are drawn from this population ,and the mean of each sample is determinate. Find the mean and standar deviation of sampling distribution of sample mean.Then sketch a graph of the sampling distribution.Non parametric tests are independent of the population distribution.a) Trueb) FalseUse the graph of y = f(x) to graph the function y = f(1-x). =(1-x). For each point for f(x), determine the corresponding point for y= -10 y HOTY A N --5- -5 10 5 X 10 AFor each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishUniform probability distribution Show development for the solution If the random variable x is uniformly distributed for values greater than 20 but less than 80, find: d) P (X>45) e) P (10<X<20)Recommended textbooks for youCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSONCalculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage LearningCalculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSONCalculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning